given: ∠1 and ∠2 are vertical angles. prove: ∠1≅ ∠2

Answer:

the respuesta is 54

Step-by-step explanation:

are not

Answer:

Geometric sequence with a common ratio of 1/3

Step-by-step explanation:

Each term is 1/3 of the previous term:
First term is : 162
Second term: 162 x 1/3 = 162/3 = 54
Third term : 54 x 1/3 = 54/3 = 18

and so on

The ratio of a term to its previous term is therefore 1/3 and this is called a common ration

This kind of sequence where each term is a multiple (1/3) of the previous term is called a geometric sequence

Based on the number of pounds of egg salad to the price of dollars, the unit price of the salad can be found to be A. $5 / 1 lb

The unit price of the pounds of egg salad can be found as:

= Price of egg salad / Weight of egg salad

When the weight is 1, the unit price from the graph is:
=  $5 / 1 lb

When the weight is 2, the unit price is:

= 10 / 2

= 5 / 1 in simpler terms

When the weight is 3, the unit price is:

= 15 / 3

= 5 / 1 in simpler terms

In conclusion, the unit price of salad is $5 / 1 lb

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The equation 4y = -4x + 2³​ is a linear function

A linear function can be explained as an algebraic equation, whose every  term is either a constant or the product of a constant and a variable (raised to the first power only).

The equation 4y = -4x + 2³​ is a linear function since both variables x and y meet the criteria, and both constants a and b do comply with rules as well

The exponent of x is 1, that is, it is raised to the first power only and the equation follows the definition of a function: for each input (x) there is only one output (y). The graph of any linear function in one variable  is always  a straight line.

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f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.

A function can be thought of as an output for the given inputs.

According to the given question f(x) = -2x² + 8x - 8 we have to compute

A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.

f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }

f(-1) + f(1) = - 18 - 2.

f(-1) + f(1) = - 20.

B.  f(1)-f(1) = 0 ( we don't need to calculate )

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The numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of  ways can this be done, if the order of the choices is not relevant is 36 ways.

a. N permutations

N permutations = nPr  = n!/ (n-r)!

N permutations = 9P7 = 9!/(9-7)!

N permutations = 9×8×7×6×5×4×3

N permutations= 181,440

b. N combinations :

N combinations = nCr = n!/((n-r)!r!)

N combinations = 9C7 = 9!/((9-7)!7!)

N combinations =9×8×7×6×5×4×3 ×2!/7!×2!

N combinations = 9×8×7×6×5×4×3 /7!

N combinations =181,440/7!

N combinations =36

Therefore the numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of  ways can this be done, if the order of the choices is not relevant is 36 ways.

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Answer:The answer is 2

no time for explonations

Answer:

15

Step-by-step explanation:

Distribute where possible

10v + 30 - 4v -6v -6 -9

Combine like terms and do the math

15

Answer: [C] P = 5000T + 93,000

Step-by-step explanation:

Answer:

33124

Step-by-step explanation:

please rate as brainliest

keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5[/tex]

The volcano is growing larger by 1 cm/year.

In order to determine if the volcano is growing or wearing down, determine the cm that the volcano wears down each year. To do this, we would be dividing the total cm the volcano wears down by the number of years.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The cm the volcano wears down each year = 20 cm / 5 = 4cm

10 / 2 = 5cm

5cm - 4cm = 1 cm

This means that the volcano is growing at 1 cm per year.

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66.00 divided by 4 equals 16.5

Answer:

X = 4

Step-by-step explanation:

Remove the fraction first by multiplying with 6 both sides.

Then leave the variable alone by diving with - 5

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{x= 4}[/tex]

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Given: [tex]\textsf{-5/6x = -10/3}[/tex]

Find:  [tex]\textsf{The value of x}[/tex]

Solution: In order to get the value of x we must multiply both sides by -6/5 to help cancel the coefficient on the left side to leave x by itself.

Multiply both sides by -6/5

Simplify the expression

Therefore, the value of the unknown variable x is 4.

Answer:

x < - 9 or x > 1

Step-by-step explanation:

inequalities of the type | x | > a have a solution of the form

x < - a or x > a

| 2x + 8 | > 10 is of this type , then

2x + 8 < - 10 or 2x + 8 > 10 ( subtract 8 from both sides of each inequality) )

2x < - 18 or 2x > 2 ( divide both sides of each by 2 )

x < - 9 or x > 1

Answer:

Step-by-step explanation:

sec(2a+6)cos (5a+3)=1

[tex]\frac{cos(5a+3)}{cos(2a+6)} =1\\[/tex]

cos(5a+3)=cos(2a+6)

cos(5a+3)-cos(2a+6)=0

[tex]-2sin(\frac{5a+3+2a+6)}{2} )sin(\frac{5a+3-2a-6)}{2} )=0\\-2sin(\frac{7a+9}{2} )sin(\frac{3a-3}{2} )=0\\either sin (\frac{7a+9}{2} )=0=sin ~n\pi \\\frac{7a+9}{2} =n~\pi \\7a+9=2n~\pi \\7a=2n~\pi -9\\a=\frac{2n\pi-9 }{7} \\where~n~is~an~integer.[/tex]

or

[tex]\sin\frac{3a-3}{2} =0=\sin ~n\pi \\3a-3=2n\pi \\3a=2n\pi+3\\a=\frac{2~n\pi+3 }{3}[/tex]

where n is an integer.

Answer:

310

Step-by-step explanation:

189+122=311

(311 rounded to the nearest ten is 310.)

Answer: x=-7, y=0

Step-by-step explanation:

You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.

-2x+8y = 14

2x+8y= -14    -------->   16y=0

When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.

-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14

When you divide both sides by -2, you get x=-7.

Step-by-step explanation:

equivalent fractions are all fractions with different numbers in numerator and denominator, but after simplifying they have the same value.

like 1/2 and 3/6 are equivalent fractions to each other.

so, the equivalent fractions for 3/25 are

a/a × 3/25

for any "a".

e.g.

6/50, 15/125, 300/2500, ...

The center of the circle is (3, -1) and the radius  of the circle is 4

The equation of the circle is given as

x^2 + y^2 - 6x + 2y = 6

The above equation is the standard equation of a circle

Start by converting the above standard equation of a circle to a form other than the standard equation

Using a graphing calculator, we have the following form

(x - 3)^2 + (y + 1)^2 = 4^2

The equation of a circle is represented as

(x - h)^2 + (y - k)^2 = r^2

Where the center is

Center = (h, k)

So, we have

(h, k) = (3, -1)

This means that

Center = (3, -1)

Hence, the center of the circle is (3, -1)

In (a), we have

Using a graphing calculator, we have the following form

(x - 3)^2 + (y + 1)^2 = 4^2

The equation of a circle is represented as

(x - h)^2 + (y - k)^2 = r^2

Where the radius is

Radius = r

So, we have

r = 4

This means that

Radius = 4

Hence, the radius  of the circle is 4

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Answer:

The girls ran 8 laps in one hour, for the boys it is 48:6

Step-by-step explanation:

The girls ran 4 laps in 30 minutes so per hour is was be 8 laps because 4x2. So on the paper it would be 4x2=8

For the boys it would be 8x6 which is 48 dollars in one hour and 6 laps per hour so it would be 48:6 so just put 8x6=48 and it should work.

I THINK X IS 2) : -0.75

The products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345

The partial product is given as

240

Express 240 as a product of its factors

So, we have

240 =  1 * 240

240 =  2 * 120

240 =  3 * 80

240 =  4 * 60

240 =  5 * 48

240 =  6 * 40

240 =  9 * 30

Next, we test the options

3 x 3,388

Express all values other than the ten-place value as 0

3 x 0080

Evaluate the product

3 x 0080  = 240

8 x 2,612

Express all values other than the ten-place value as 0

8 x 0010

Evaluate the product

8 x 0010 = 80

4 x 5,376

Express all values other than the ten-place value as 0

4 x 0070

Evaluate the product

4 x 0070 = 280

6 x 4,345

Express all values other than the ten-place value as 0

6 x 0040

Evaluate the product

6 x 0040 = 240

3 x 6,828

Express all values other than the ten-place value as 0

3 x 0020

Evaluate the product

3 x 0020 = 60

Hence, the products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345

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Answer:

The Answer is D

Step-by-step explanation:

you just have to look for the letter that's giving you it not subtracting it. And look for the right amount.

Keri's total score in her last gymnastics which had three different types of acts is 17.25.

A decimal separates the whole part and the integer part of a given number. Decimal can also be written as fractions.

Keri in her last gymnastics competition scored a 5.65 on the floor exercise, 5.85 on the vault, and 5.57 on balance.

∴ Her total score will be the sum of all the scores she obtained in all those three performances which are,

= ( 5.65 + 5.85 + 5.75).

= 17.25.

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Answer:

Step-by-step explanation:

Given square TUVW, you want the perimeter and area of square T'U'V'W' after it has been dilated by a factor of 5/2 and translated by (0, -8).

Counting grid squares, or reading coordinates, we find the length of a side of square TUVW to be 8 units. Then the perimeter is ...

  P = 4s = 4·8 = 32 . . . . units

After dilation, the perimeter of the square is the preimage value multiplied by the dilation factor.

 perimeter of T'U'V'W' = (5/2)(perimeter of TUVW) = (5/2)(32 units)

  perimeter of T'U'V'W' = 80 units.

The area is the square of the side length. The side length of T'U'V'W' is ...

  s' = (5/2)(8) = 20 . . . . units

Then the area is

  A' = (s')² = (20 units)² = 400 units²

area of T'U'V'W' is 400 units².

__

Additional comment

Translation is a rigid transformation. It does not change the dimensions, so does not change the perimeter or area of the dilated square.

Answer:

19 7/20 feet

Step-by-step explanation:

1. [tex]2\frac{5}{8}[/tex] pieces of wood

[tex]2\frac{5}{8} * 6 = 15\frac{3}{4}[/tex]

2. [tex]1\frac{1}{5}[/tex] pieces of wood

[tex]1\frac{1}{5} * 3 = 3\frac{3}{5}[/tex]

3. Combined

[tex]15\frac{3}{5} +3\frac{3}{5} = 19\frac{7}{20}[/tex]

Answer: The first 3 answers from the top

Step-by-step explanation:

Answer:

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The percentage of students at the college have a GPA between 2.3 and 3.3 is C. 68.26%.

How far is 2.3 from 2.8. This will be:

= (2.3-2.8) = -0.5

That means 2.3 is one standard deviation to the left of the mean.

How far is 3.3 from 2.8? This is (3.3-2.8) = 0.5

That means 3.3 is one standard deviation to the right of the mean.

According to the empirical rule 68% of normally distributed data is within 1 standard deviation of the mean.

Therefore, the correct option is C.

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At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?

a)84.13% b)99.74% c) 68.26% d) 95.44%

Carlos pays monthly for his cable bill $67.15

For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.

The same amount is paid for the cable bill every month.

Therefore the amount paid every month can be calculated as follows

= 335.75/5

= 67.15

Hence the amount paid monthly for the cable bill is $67.15

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